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of partial differential equations and applications. Other areas under active consideration are cosmology, multiscale and complex systems including interfaces with theoretical biology, computer science and
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Scientific Computing: Design and analyze quantum algorithms for optimization, combinatorial search, differential equations, scientific simulation, and other computational challenges arising in engineering
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, stiff systems of partial differential equations Demonstrated expertise in multiphase flows and stiff chemistry/transport source terms in reacting flows (e.g., combustion, plasma), and strong proficiency
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University of North Carolina at Chapel Hill | Chapel Hill, North Carolina | United States | 3 months ago
experience corresponding to mathematics through differential equations, a microbiology background including environmental microbiology, and experience with quantitative analysis of environmental and/or human
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University of North Carolina at Chapel Hill | Chapel Hill, North Carolina | United States | about 2 months ago
experience corresponding to mathematics through differential equations, a microbiology background including environmental microbiology, and experience with quantitative analysis of environmental and/or human
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University of North Carolina at Chapel Hill | Chapel Hill, North Carolina | United States | about 1 month ago
experience corresponding to mathematics through differential equations, a microbiology background including environmental microbiology, and experience with quantitative analysis of environmental and/or human
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, -- partial differential equations and in particular Navier-Stokes equations, -- stochastic analysis, -- mathematical theory for artificial intelligence, -- optimization and numerical computation over manifold
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. Research directions. Successful candidates will lead one or more of the following ongoing projects: • Developing neural differential equation and continuous-time dynamical models for spatial and single-cell
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well as numerical methods for partial differential equations, especially finite element methods, both theory and implementation. A successful candidate will work in the topics of interests, which include: (1) solid
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to enable scalability. The work will draw on concepts from dynamical systems, stochastic processes, and stochastic differential equations (SDEs), including nonequilibrium systems, to model cellular behavior